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This paper presents a mixed-computation neural network processing approach for edge applications that incorporates low-precision (low-width) Posit and low-precision fixed point (FixP) number systems. This mixed-computation approach employs…

Machine Learning · Computer Science 2023-12-06 Seyedarmin Azizi , Mahdi Nazemi , Mehdi Kamal , Massoud Pedram

Successful HPC software applications are long-lived. When ported across machines and their compilers, these applications often produce different numerical results, many of which are unacceptable. Such variability is also a concern while…

Software Engineering · Computer Science 2019-06-26 Michael Bentley , Ian Briggs , Ganesh Gopalakrishnan , Dong H. Ahn , Ignacio Laguna , Gregory L. Lee , Holger E. Jones

We introduce XiSort, a deterministic and reproducible sorting algorithm for floating-point sequences based on IEEE-754 total ordering and entropy minimization. XiSort guarantees bit-for-bit stability across runs and platforms by resolving…

Data Structures and Algorithms · Computer Science 2025-05-20 Faruk Alpay

We estimate and analyze the error rates and the resource overheads of the repetition cat qubit approach to universal and fault-tolerant quantum computation. The cat qubits stabilized by two-photon dissipation exhibit an extremely biased…

Quantum Physics · Physics 2021-04-21 Jérémie Guillaud , Mazyar Mirrahimi

With the increasing complexity of machine learning models, managing computational resources like memory and processing power has become a critical concern. Mixed precision techniques, which leverage different numerical precisions during…

Machine Learning · Computer Science 2026-04-20 Juyoung Yun , Sol Choi , Francois Rameau , Byungkon Kang , Zhoulai Fu

Efficient number representation is essential for federated learning, natural language processing, and network measurement solutions. Due to timing, area, and power constraints, such applications use narrow bit-width (e.g., 8-bit) number…

Networking and Internet Architecture · Computer Science 2024-10-08 Itamar Cohen , Gil Einziger

Modern microprocessors extend their instruction set architecture (ISA) with Single Instruction, Multiple Data (SIMD) operations to improve performance. The Intel Advanced Vector Extensions (AVX) enhance the x86 ISA and are widely supported…

Hardware Architecture · Computer Science 2025-11-27 Laslo Hunhold

Post-training quantization (PTQ) is a powerful technique for model compression, reducing the numerical precision in neural networks without additional training overhead. Recent works have investigated adopting 8-bit floating-point…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Shivam Aggarwal , Hans Jakob Damsgaard , Alessandro Pappalardo , Giuseppe Franco , Thomas B. Preußer , Michaela Blott , Tulika Mitra

Floating point multiplication is one of the crucial operations in many application domains such as image processing, signal processing etc. But every application requires different working features. Some need high precision, some need low…

Hardware Architecture · Computer Science 2020-12-08 S. Arish , R. K. Sharma

In recent years, half precision floating-point arithmetic has gained wide support in hardware and software stack thanks to the advance of artificial intelligence and machine learning applications. Operating at half precision can…

Numerical Analysis · Mathematics 2024-09-19 Longfei Gao , Kevin Harms

The upcoming IEEE-P3109 standard for low-precision floating-point arithmetic can become the foundation of future machine learning hardware and software. Unlike IEEE-754, P3109 introduces a parametric framework defined by bitwidth,…

Mathematical Software · Computer Science 2026-05-19 Tung-Che Chang , Sehyeok Park , Jay P Lim , Santosh Nagarakatte

The massive computational costs associated with large language model (LLM) pretraining have spurred great interest in reduced-precision floating-point representations to accelerate the process. As a result, the BrainFloat16 (BF16) precision…

Machine Learning · Computer Science 2025-03-26 Joonhyung Lee , Jeongin Bae , Byeongwook Kim , Se Jung Kwon , Dongsoo Lee

Neural network quantization is widely used to reduce model inference complexity in real-world deployments. However, traditional integer quantization suffers from accuracy degradation when adapting to various dynamic ranges. Recent research…

Performance · Computer Science 2023-10-30 Zhuoyi Zhang , Yunchen Zhang , Gonglei Shi , Yu Shen , Ruihao Gong , Xiaoxu Xia , Qi Zhang , Lewei Lu , Xianglong Liu

The growing demand for edge-AI systems requires arithmetic units that balance numerical precision, energy efficiency, and compact hardware while supporting diverse formats. Posit arithmetic offers advantages over floating- and fixed-point…

Hardware Architecture · Computer Science 2026-01-27 Sonu Kumar , Lavanya Vinnakota , Mukul Lokhande , Santosh Kumar Vishvakarma , Adam Teman

In this work, we provide energy-efficient architectural support for floating point accuracy. Our goal is to provide accuracy that is far greater than that provided by the processor's hardware floating point unit (FPU). Specifically, for…

Hardware Architecture · Computer Science 2013-09-30 Ralph Nathan , Bryan Anthonio , Shih-Lien Lu , Helia Naeimi , Daniel J. Sorin , Xiaobai Sun

The robust PCA problem, wherein, given an input data matrix that is the superposition of a low-rank matrix and a sparse matrix, we aim to separate out the low-rank and sparse components, is a well-studied problem in machine learning. One…

Machine Learning · Computer Science 2017-07-06 U. N. Niranjan , Arun Rajkumar , Theja Tulabandhula

Dynamic sparsity, where the sparsity patterns are unknown until runtime, poses a significant challenge to deep learning. The state-of-the-art sparsity-aware deep learning solutions are restricted to pre-defined, static sparsity patterns due…

Fault-tolerant deep learning accelerator is the basis for highly reliable deep learning processing and critical to deploy deep learning in safety-critical applications such as avionics and robotics. Since deep learning is known to be…

Hardware Architecture · Computer Science 2023-12-22 Qing Zhang , Cheng Liu , Bo Liu , Haitong Huang , Ying Wang , Huawei Li , Xiaowei Li

With lowrank approximation the storage requirements for dense data are reduced down to linear complexity and with the addition of hierarchy this also works for data without global lowrank properties. However, the lowrank factors itself are…

Mathematical Software · Computer Science 2023-08-23 Ronald Kriemann

When quantizing neural networks for efficient inference, low-bit integers are the go-to format for efficiency. However, low-bit floating point numbers have an extra degree of freedom, assigning some bits to work on an exponential scale…

Machine Learning · Computer Science 2024-02-26 Andrey Kuzmin , Mart Van Baalen , Yuwei Ren , Markus Nagel , Jorn Peters , Tijmen Blankevoort